Q: The eccentricity of conic 9x2 – 16y2 = 144 is
(A) 4/5
(B) 5/4
(C) 4/3
(D) √7
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Ans: (B)
Sol: Hyperbola is $\large \frac{x^2}{16} – \frac{y^2}{9} = 1$
b2 = a2(e2 – 1)
⇒ 9 = 16(e2 – 1)
⇒ e = 5/4
Science and Education
Q: The eccentricity of conic 9x2 – 16y2 = 144 is
(A) 4/5
(B) 5/4
(C) 4/3
(D) √7
b2 = a2(e2 – 1)
⇒ 9 = 16(e2 – 1)
⇒ e = 5/4